could someone help me with math?

Question

Simplify the following expression.

 

(-16a^4)^1

 

please no similar examples

Answer 1

Factoring:  16a^4-1 

Let's analyze this a bit:

16  is the square of  4 
1 is the square of 1
a4  is the square of  a2 

 

Thus

(4a2 + 1)  •  (4a2 - 1)
 

If you Factor  4a2 - 1 you will know that...

4  is the square of  2

1 is the square of 1
a2  is the square of  a1 

Further factorization get you to: (2a + 1)  •  (2a - 1) 

(4a2 + 1) • (2a + 1) • (2a - 1) is your final result.... you can't simplify further than that.

 

Hope this helps!

 

Migdalia